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2073746496 = 26317635339
BaseRepresentation
bin111101110011010…
…1101110001000000
312100112010020101210
41323212231301000
513221334341441
6541435330120
7102250361103
oct17346556100
95315106353
102073746496
11974637488
1249a5b0940
13270828243
141595b473a
15c20cd616
hex7b9adc40

2073746496 has 56 divisors (see below), whose sum is σ = 5809548960. Its totient is φ = 650586112.

The previous prime is 2073746489. The next prime is 2073746497. The reversal of 2073746496 is 6946473702.

2073746496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2073746497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314406 + ... + 320933.

Almost surely, 22073746496 is an apocalyptic number.

It is an amenable number.

2073746496 is an abundant number, since it is smaller than the sum of its proper divisors (3735802464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2073746496 is a wasteful number, since it uses less digits than its factorization.

2073746496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635371 (or 635361 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The square root of 2073746496 is about 45538.4068232520. The cubic root of 2073746496 is about 1275.2203122560.

The spelling of 2073746496 in words is "two billion, seventy-three million, seven hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 635339 1270678 1906017 2541356 3812034 5082712 7624068 10165424 10800763 15248136 20330848 21601526 30496272 32402289 40661696 43203052 60992544 64804578 86406104 121985088 129609156 172812208 259218312 345624416 518436624 691248832 1036873248 2073746496